Case, Jeffrey S.; Lin, Yueh-Ju; Yuan, Wei Some constructions of formally self-adjoint conformally covariant polydifferential operators. (English) Zbl 07514698 Adv. Math. 401, Article ID 108312, 50 p. (2022). MSC: 53C18 53A31 58J70 PDF BibTeX XML Cite \textit{J. S. Case} et al., Adv. Math. 401, Article ID 108312, 50 p. (2022; Zbl 07514698) Full Text: DOI OpenURL
Guo, Xi A note on a formal Riemannian structure on conformal classes. (English) Zbl 07501827 J. Geom. Anal. 32, No. 5, Paper No. 168, 10 p. (2022). MSC: 53C18 58B20 PDF BibTeX XML Cite \textit{X. Guo}, J. Geom. Anal. 32, No. 5, Paper No. 168, 10 p. (2022; Zbl 07501827) Full Text: DOI OpenURL
Li, Gang On uniqueness and existence of conformally compact Einstein metrics with homogeneous conformal infinity. (English) Zbl 07488397 Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 60, 39 p. (2022). MSC: 53C25 58J05 53C30 34B15 PDF BibTeX XML Cite \textit{G. Li}, Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 60, 39 p. (2022; Zbl 07488397) Full Text: DOI arXiv OpenURL
Arias, Cesar; Gover, A. Rod; Waldron, Andrew Conformal geometry of embedded manifolds with boundary from universal holographic formulæ. (English) Zbl 07415142 Adv. Math. 384, Article ID 107700, 75 p. (2021). MSC: 53C18 53A55 53B25 53C21 53A10 53B50 53C80 PDF BibTeX XML Cite \textit{C. Arias} et al., Adv. Math. 384, Article ID 107700, 75 p. (2021; Zbl 07415142) Full Text: DOI arXiv OpenURL
Graham, C. Robin; Gursky, Matthew Chern-Gauss-Bonnet formula for singular Yamabe metrics in dimension four. (English) Zbl 07403314 Indiana Univ. Math. J. 70, No. 3, 1131-1166 (2021). Reviewer: Krishnan Shankar (Norman) MSC: 53C18 53C20 PDF BibTeX XML Cite \textit{C. R. Graham} and \textit{M. Gursky}, Indiana Univ. Math. J. 70, No. 3, 1131--1166 (2021; Zbl 07403314) Full Text: DOI arXiv OpenURL
Shen, Weiming; Wang, Yue Rigidity and gap theorems for Liouville’s equation. (English) Zbl 1473.35301 J. Funct. Anal. 281, No. 10, Article ID 109228, 29 p. (2021). MSC: 35J91 PDF BibTeX XML Cite \textit{W. Shen} and \textit{Y. Wang}, J. Funct. Anal. 281, No. 10, Article ID 109228, 29 p. (2021; Zbl 1473.35301) Full Text: DOI OpenURL
Anastasiou, Giorgos; Araya, Ignacio J.; Mann, Robert B.; Olea, Rodrigo Renormalized holographic entanglement entropy in Lovelock gravity. (English) Zbl 1466.83071 J. High Energy Phys. 2021, No. 6, Paper No. 73, 37 p. (2021). MSC: 83D05 83C45 83E05 81P17 81P42 81T16 PDF BibTeX XML Cite \textit{G. Anastasiou} et al., J. High Energy Phys. 2021, No. 6, Paper No. 73, 37 p. (2021; Zbl 1466.83071) Full Text: DOI arXiv OpenURL
Usula, Marco Yang-Mills connections on conformally compact manifolds. (English) Zbl 1465.35217 Lett. Math. Phys. 111, No. 2, Paper No. 56, 23 p. (2021). MSC: 35J60 35J70 58J05 PDF BibTeX XML Cite \textit{M. Usula}, Lett. Math. Phys. 111, No. 2, Paper No. 56, 23 p. (2021; Zbl 1465.35217) Full Text: DOI arXiv OpenURL
Anastasiou, Giorgos; Araya, Ignacio J.; Olea, Rodrigo Einstein gravity from conformal gravity in 6D. (English) Zbl 1459.83005 J. High Energy Phys. 2021, No. 1, Paper No. 134, 31 p. (2021). MSC: 83C05 83D05 PDF BibTeX XML Cite \textit{G. Anastasiou} et al., J. High Energy Phys. 2021, No. 1, Paper No. 134, 31 p. (2021; Zbl 1459.83005) Full Text: DOI arXiv OpenURL
Marugame, Taiji Renormalized characteristic forms of the Cheng-Yau metric and global CR invariants. (English) Zbl 1460.32079 Adv. Math. 377, Article ID 107468, 56 p. (2021). Reviewer: Andrea Galasso (Taipei) MSC: 32V05 32T15 53A55 PDF BibTeX XML Cite \textit{T. Marugame}, Adv. Math. 377, Article ID 107468, 56 p. (2021; Zbl 1460.32079) Full Text: DOI arXiv OpenURL
Anastasiou, Giorgos; Miskovic, Olivera; Olea, Rodrigo; Papadimitriou, Ioannis Counterterms, Kounterterms, and the variational problem in AdS gravity. (English) Zbl 1454.83007 J. High Energy Phys. 2020, No. 8, Paper No. 61, 52 p. (2020). MSC: 83C05 83C45 81T17 PDF BibTeX XML Cite \textit{G. Anastasiou} et al., J. High Energy Phys. 2020, No. 8, Paper No. 61, 52 p. (2020; Zbl 1454.83007) Full Text: DOI arXiv OpenURL
Chang, Sun-Yung A.; Ge, Yuxin; Qing, Jie Compactness of conformally compact Einstein 4-manifolds. II. (English) Zbl 1447.53043 Adv. Math. 373, Article ID 107325, 33 p. (2020). MSC: 53C25 53C18 PDF BibTeX XML Cite \textit{S.-Y. A. Chang} et al., Adv. Math. 373, Article ID 107325, 33 p. (2020; Zbl 1447.53043) Full Text: DOI arXiv OpenURL
Santos, Jorge E. To go or not to go with the flow: Hawking radiation at strong coupling. (English) Zbl 1437.83066 J. High Energy Phys. 2020, No. 6, Paper No. 104, 24 p. (2020). MSC: 83C57 83C47 81T16 81T60 80A10 70S15 PDF BibTeX XML Cite \textit{J. E. Santos}, J. High Energy Phys. 2020, No. 6, Paper No. 104, 24 p. (2020; Zbl 1437.83066) Full Text: DOI arXiv OpenURL
Lefeuvre, Thibault Boundary rigidity of negatively-curved asymptotically hyperbolic surfaces. (English) Zbl 1442.53029 Comment. Math. Helv. 95, No. 1, 129-166 (2020). MSC: 53C22 35R01 35R30 37D40 53C20 PDF BibTeX XML Cite \textit{T. Lefeuvre}, Comment. Math. Helv. 95, No. 1, 129--166 (2020; Zbl 1442.53029) Full Text: DOI arXiv OpenURL
Albin, Pierre Poincaré-Lovelock metrics on conformally compact manifolds. (English) Zbl 1437.53031 Adv. Math. 367, Article ID 107108, 43 p. (2020). MSC: 53C25 53C20 53Z05 53C18 PDF BibTeX XML Cite \textit{P. Albin}, Adv. Math. 367, Article ID 107108, 43 p. (2020; Zbl 1437.53031) Full Text: DOI arXiv OpenURL
Chen, Youmin On expansions of Ricci flat ALE metrics in harmonic coordinates about the infinity. (English) Zbl 1436.32085 Commun. Math. Stat. 8, No. 1, 63-90 (2020). MSC: 32Q20 53C07 53C21 PDF BibTeX XML Cite \textit{Y. Chen}, Commun. Math. Stat. 8, No. 1, 63--90 (2020; Zbl 1436.32085) Full Text: DOI arXiv OpenURL
Takeuchi, Yuya On the second variation of the Graham-Witten energy. (English) Zbl 1430.53068 Proc. Am. Math. Soc. 148, No. 1, 393-402 (2020). MSC: 53C42 53C18 58E30 PDF BibTeX XML Cite \textit{Y. Takeuchi}, Proc. Am. Math. Soc. 148, No. 1, 393--402 (2020; Zbl 1430.53068) Full Text: DOI arXiv OpenURL
Graham, C. Robin; Guillarmou, Colin; Stefanov, Plamen; Uhlmann, Gunther X-ray transform and boundary rigidity for asymptotically hyperbolic manifolds. (Transformée en rayons X et rigidité du bord pour les variétés asymptotiquement hyperboliques.) (English. French summary) Zbl 1453.35190 Ann. Inst. Fourier 69, No. 7, 2857-2919 (2019). MSC: 35R30 37D40 53C22 PDF BibTeX XML Cite \textit{C. R. Graham} et al., Ann. Inst. Fourier 69, No. 7, 2857--2919 (2019; Zbl 1453.35190) Full Text: DOI arXiv OpenURL
Anastasiou, Giorgos; Araya, Ignacio J.; Güijosa, Alberto; Olea, Rodrigo Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs. (English) Zbl 1427.83016 J. High Energy Phys. 2019, No. 10, Paper No. 221, 59 p. (2019). MSC: 83C45 83D05 83E05 81T15 81P40 81T40 PDF BibTeX XML Cite \textit{G. Anastasiou} et al., J. High Energy Phys. 2019, No. 10, Paper No. 221, 59 p. (2019; Zbl 1427.83016) Full Text: DOI arXiv OpenURL
Bahuaud, Eric; Mazzeo, Rafe; Woolgar, Eric Ricci flow and volume renormalizability. (English) Zbl 1427.53108 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 057, 21 p. (2019). MSC: 53E20 PDF BibTeX XML Cite \textit{E. Bahuaud} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 057, 21 p. (2019; Zbl 1427.53108) Full Text: DOI arXiv OpenURL
McKeown, Stephen E. Formal theory of cornered asymptotically hyperbolic Einstein metrics. (English) Zbl 1423.53060 J. Geom. Anal. 29, No. 3, 1876-1928 (2019). Reviewer: Laurian Ioan Piscoran (Baia Mare) MSC: 53C25 53B20 58J37 35B40 PDF BibTeX XML Cite \textit{S. E. McKeown}, J. Geom. Anal. 29, No. 3, 1876--1928 (2019; Zbl 1423.53060) Full Text: DOI arXiv OpenURL
Case, Jeffrey S.; Lin, Yueh-Ju; Yuan, Wei Conformally variational Riemannian invariants. (English) Zbl 1423.53037 Trans. Am. Math. Soc. 371, No. 11, 8217-8254 (2019). Reviewer: Peter B. Gilkey (Eugene) MSC: 53C20 53A55 53C21 53C24 PDF BibTeX XML Cite \textit{J. S. Case} et al., Trans. Am. Math. Soc. 371, No. 11, 8217--8254 (2019; Zbl 1423.53037) Full Text: DOI arXiv OpenURL
Bugini, F.; Diaz, D. E. Holographic Weyl anomaly for GJMS operators: one Laplacian to rule them all. (English) Zbl 1411.83112 J. High Energy Phys. 2019, No. 2, Paper No. 188, 17 p. (2019). MSC: 83E30 81T40 81T50 PDF BibTeX XML Cite \textit{F. Bugini} and \textit{D. E. Diaz}, J. High Energy Phys. 2019, No. 2, Paper No. 188, 17 p. (2019; Zbl 1411.83112) Full Text: DOI arXiv OpenURL
Gover, A. Rod; Waldron, Andrew Renormalized volumes with boundary. (English) Zbl 1430.53049 Commun. Contemp. Math. 21, No. 2, Article ID 1850030, 31 p. (2019). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 53C21 53C18 53C40 53A55 53B50 PDF BibTeX XML Cite \textit{A. R. Gover} and \textit{A. Waldron}, Commun. Contemp. Math. 21, No. 2, Article ID 1850030, 31 p. (2019; Zbl 1430.53049) Full Text: DOI arXiv OpenURL
Wang, Fang Dirichlet-to-Neumann map for Poincaré-Einstein metrics in even dimensions. (English) Zbl 1404.58037 Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 9, 42 p. (2019). MSC: 58J32 58J50 PDF BibTeX XML Cite \textit{F. Wang}, Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 9, 42 p. (2019; Zbl 1404.58037) Full Text: DOI arXiv OpenURL
Li, Gang On uniqueness of conformally compact Einstein metrics with homogeneous conformal infinity. (English) Zbl 1404.53061 Adv. Math. 340, 983-1011 (2018). Reviewer: Mohammad Hasan Shahid (New Delhi) MSC: 53C25 58J05 53C30 34B15 PDF BibTeX XML Cite \textit{G. Li}, Adv. Math. 340, 983--1011 (2018; Zbl 1404.53061) Full Text: DOI arXiv OpenURL
Chang, Sun-Yung A.; Ge, Yuxin Compactness of conformally compact Einstein manifolds in dimension 4. (English) Zbl 1443.53027 Adv. Math. 340, 588-652 (2018). MSC: 53C25 58D17 PDF BibTeX XML Cite \textit{S.-Y. A. Chang} and \textit{Y. Ge}, Adv. Math. 340, 588--652 (2018; Zbl 1443.53027) Full Text: DOI arXiv OpenURL
Zhang, Ruobing Nonlocal curvature and topology of locally conformally flat manifolds. (English) Zbl 1405.53051 Adv. Math. 335, 130-169 (2018). MSC: 53C20 58J60 PDF BibTeX XML Cite \textit{R. Zhang}, Adv. Math. 335, 130--169 (2018; Zbl 1405.53051) Full Text: DOI arXiv OpenURL
Guillarmou, Colin; Moroianu, Sergiu; Schlenker, Jean-Marc The renormalized volume and uniformization of conformal structures. (English) Zbl 1395.58005 J. Inst. Math. Jussieu 17, No. 4, 853-912 (2018). MSC: 58B05 53A30 58D17 PDF BibTeX XML Cite \textit{C. Guillarmou} et al., J. Inst. Math. Jussieu 17, No. 4, 853--912 (2018; Zbl 1395.58005) Full Text: DOI arXiv OpenURL
Borghini, Stefano; Mazzieri, Lorenzo On the mass of static metrics with positive cosmological constant. I. (English) Zbl 1391.83037 Classical Quantum Gravity 35, No. 12, Article ID 125001, 43 p. (2018). MSC: 83C40 83C05 53Z05 PDF BibTeX XML Cite \textit{S. Borghini} and \textit{L. Mazzieri}, Classical Quantum Gravity 35, No. 12, Article ID 125001, 43 p. (2018; Zbl 1391.83037) Full Text: DOI arXiv OpenURL
Hu, Xue On the asymptotically Poincaré-Einstein 4-manifolds with harmonic curvature. (English) Zbl 1388.53044 J. Geom. Phys. 128, 48-57 (2018). MSC: 53C25 53C24 PDF BibTeX XML Cite \textit{X. Hu}, J. Geom. Phys. 128, 48--57 (2018; Zbl 1388.53044) Full Text: DOI OpenURL
Marugame, Taiji Volume renormalization for the Blaschke metric on strictly convex domains. (English) Zbl 1388.53032 J. Geom. Anal. 28, No. 1, 510-545 (2018). MSC: 53C20 53A20 53A55 53B10 PDF BibTeX XML Cite \textit{T. Marugame}, J. Geom. Anal. 28, No. 1, 510--545 (2018; Zbl 1388.53032) Full Text: DOI arXiv OpenURL
Guillarmou, Colin; Hilgert, Joachim; Weich, Tobias Classical and quantum resonances for hyperbolic surfaces. (English) Zbl 1454.58026 Math. Ann. 370, No. 3-4, 1231-1275 (2018). MSC: 58J50 37D40 53D25 PDF BibTeX XML Cite \textit{C. Guillarmou} et al., Math. Ann. 370, No. 3--4, 1231--1275 (2018; Zbl 1454.58026) Full Text: DOI arXiv OpenURL
Gursky, Matthew; Streets, Jeffrey Variational structure of the \(v_{\frac{n}{2}}\)-Yamabe problem. (English) Zbl 1383.53028 Differ. Geom. Appl. 56, 187-201 (2018). MSC: 53C20 58E11 PDF BibTeX XML Cite \textit{M. Gursky} and \textit{J. Streets}, Differ. Geom. Appl. 56, 187--201 (2018; Zbl 1383.53028) Full Text: DOI arXiv OpenURL
Acevedo, S.; Aros, R.; Bugini, F.; Diaz, D. E. On the Weyl anomaly of 4D conformal higher spins: a holographic approach. (English) Zbl 1383.83142 J. High Energy Phys. 2017, No. 11, Paper No. 82, 20 p. (2017). MSC: 83E30 81T40 83C60 83D05 81T50 83C15 53Z05 PDF BibTeX XML Cite \textit{S. Acevedo} et al., J. High Energy Phys. 2017, No. 11, Paper No. 82, 20 p. (2017; Zbl 1383.83142) Full Text: DOI arXiv OpenURL
Bugini, F.; Diaz, D. E. Simple recipe for holographic Weyl anomaly. (English) Zbl 1378.81129 J. High Energy Phys. 2017, No. 4, Paper No. 122, 33 p. (2017). MSC: 81T50 81T40 83D05 83E30 PDF BibTeX XML Cite \textit{F. Bugini} and \textit{D. E. Diaz}, J. High Energy Phys. 2017, No. 4, Paper No. 122, 33 p. (2017; Zbl 1378.81129) Full Text: DOI arXiv OpenURL
Dias, Óscar J. C.; Masachs, Ramon Hairy black holes and the endpoint of \(AdS_{4}\) charged superradiance. (English) Zbl 1377.83040 J. High Energy Phys. 2017, No. 2, Paper No. 128, 55 p. (2017). MSC: 83C57 81T40 83C75 85A15 35Q51 PDF BibTeX XML Cite \textit{Ó. J. C. Dias} and \textit{R. Masachs}, J. High Energy Phys. 2017, No. 2, Paper No. 128, 55 p. (2017; Zbl 1377.83040) Full Text: DOI arXiv OpenURL
Case, Jeffrey S. A weighted renormalized curvature for manifolds with density. (English) Zbl 1368.53032 Proc. Am. Math. Soc. 145, No. 9, 4031-4040 (2017). Reviewer: Dumitru Motreanu (Perpignan) MSC: 53C21 53C25 58E11 PDF BibTeX XML Cite \textit{J. S. Case}, Proc. Am. Math. Soc. 145, No. 9, 4031--4040 (2017; Zbl 1368.53032) Full Text: DOI arXiv OpenURL
Li, Gang; Qing, Jie; Shi, Yuguang Gap phenomena and curvature estimates for conformally compact Einstein manifolds. (English) Zbl 1364.53048 Trans. Am. Math. Soc. 369, No. 6, 4385-4413 (2017). Reviewer: Corina Mohorianu (Iaşi) MSC: 53C25 58J05 PDF BibTeX XML Cite \textit{G. Li} et al., Trans. Am. Math. Soc. 369, No. 6, 4385--4413 (2017; Zbl 1364.53048) Full Text: DOI arXiv OpenURL
Graham, C. Robin Volume renormalization for singular Yamabe metrics. (English) Zbl 1367.53032 Proc. Am. Math. Soc. 145, No. 4, 1781-1792 (2017). Reviewer: Alina Stancu (Montréal) MSC: 53C20 53C21 PDF BibTeX XML Cite \textit{C. R. Graham}, Proc. Am. Math. Soc. 145, No. 4, 1781--1792 (2017; Zbl 1367.53032) Full Text: DOI arXiv OpenURL
Hirachi, Kengo; Marugame, Taiji; Matsumoto, Yoshihiko Variation of total Q-prime curvature on CR manifolds. (English) Zbl 1366.32009 Adv. Math. 306, 1333-1376 (2017). Reviewer: Hans-Jürgen Schmidt (Potsdam) MSC: 32Q20 32V05 32Q15 83C15 53Z05 53B35 83D05 PDF BibTeX XML Cite \textit{K. Hirachi} et al., Adv. Math. 306, 1333--1376 (2017; Zbl 1366.32009) Full Text: DOI arXiv OpenURL
Ferrari, Frank; Rovai, Antonin Gravity and on-shell probe actions. (English) Zbl 1390.83340 J. High Energy Phys. 2016, No. 8, Paper No. 47, 42 p. (2016). MSC: 83E30 83C47 83C57 PDF BibTeX XML Cite \textit{F. Ferrari} and \textit{A. Rovai}, J. High Energy Phys. 2016, No. 8, Paper No. 47, 42 p. (2016; Zbl 1390.83340) Full Text: DOI arXiv OpenURL
Taylor, Marika Generalized entanglement entropy. (English) Zbl 1390.83132 J. High Energy Phys. 2016, No. 7, Paper No. 40, 40 p. (2016). MSC: 83C47 PDF BibTeX XML Cite \textit{M. Taylor}, J. High Energy Phys. 2016, No. 7, Paper No. 40, 40 p. (2016; Zbl 1390.83132) Full Text: DOI arXiv OpenURL
Čap, Andreas; Gover, A. Rod Projective compactness and conformal boundaries. (English) Zbl 1361.53020 Math. Ann. 366, No. 3-4, 1587-1620 (2016). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 53C05 53C25 53B10 53C50 PDF BibTeX XML Cite \textit{A. Čap} and \textit{A. R. Gover}, Math. Ann. 366, No. 3--4, 1587--1620 (2016; Zbl 1361.53020) Full Text: DOI arXiv OpenURL
Marugame, Taiji GJMS operators and \(Q\)-curvature for conformal Codazzi structures. (English) Zbl 1353.53011 Differ. Geom. Appl. 49, 176-196 (2016). MSC: 53A30 53A55 PDF BibTeX XML Cite \textit{T. Marugame}, Differ. Geom. Appl. 49, 176--196 (2016; Zbl 1353.53011) Full Text: DOI arXiv OpenURL
Juhl, Andreas Heat kernel expansions, ambient metrics and conformal invariants. (English) Zbl 1328.58015 Adv. Math. 286, 545-682 (2016). MSC: 58J05 58J35 58A30 PDF BibTeX XML Cite \textit{A. Juhl}, Adv. Math. 286, 545--682 (2016; Zbl 1328.58015) Full Text: DOI arXiv OpenURL
Galloway, Gregory J.; Woolgar, Eric On static Poincaré-Einstein metrics. (English) Zbl 1388.83041 J. High Energy Phys. 2015, No. 6, Paper No. 51, 18 p. (2015). MSC: 83C20 83C57 PDF BibTeX XML Cite \textit{G. J. Galloway} and \textit{E. Woolgar}, J. High Energy Phys. 2015, No. 6, Paper No. 51, 18 p. (2015; Zbl 1388.83041) Full Text: DOI arXiv OpenURL
Juhl, Andreas; Krattenthaler, Christian Summation formulas for GJMS-operators and \(Q\)-curvatures on the Möbius sphere. (English) Zbl 1317.53014 J. Approx. Theory 197, 9-29 (2015). MSC: 53A30 41A58 42C99 PDF BibTeX XML Cite \textit{A. Juhl} and \textit{C. Krattenthaler}, J. Approx. Theory 197, 9--29 (2015; Zbl 1317.53014) Full Text: DOI arXiv OpenURL
Gover, A. Rod; Latini, Emanuele; Waldron, Andrew Poincaré-Einstein holography for forms via conformal geometry in the bulk. (English) Zbl 1326.53057 Mem. Am. Math. Soc. 1106, v, 95 p. (2015). Reviewer: Zdeněk Dušek (Hradec Kralove) MSC: 53C25 53B50 53A55 22E46 PDF BibTeX XML Cite \textit{A. R. Gover} et al., Poincaré-Einstein holography for forms via conformal geometry in the bulk. Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1326.53057) Full Text: DOI arXiv OpenURL
Christensen, Morten H.; Hartong, Jelle; Obers, Niels A.; Rollier, Blaise Boundary stress-energy tensor and Newton-Cartan geometry in Lifshitz holography. (English) Zbl 1333.81236 J. High Energy Phys. 2014, No. 1, Paper No. 057, 69 p. (2014). MSC: 81T13 PDF BibTeX XML Cite \textit{M. H. Christensen} et al., J. High Energy Phys. 2014, No. 1, Paper No. 057, 69 p. (2014; Zbl 1333.81236) Full Text: DOI arXiv OpenURL
Biquard, Olivier; Herzlich, Marc Analyse sur un demi-espace hyperbolique et poly-homogénéité locale. (French) Zbl 1307.53035 Calc. Var. Partial Differ. Equ. 51, No. 3-4, 813-848 (2014). Reviewer: Constantin Călin (Iaşi) MSC: 53C25 53C55 PDF BibTeX XML Cite \textit{O. Biquard} and \textit{M. Herzlich}, Calc. Var. Partial Differ. Equ. 51, No. 3--4, 813--848 (2014; Zbl 1307.53035) Full Text: DOI arXiv OpenURL
McIntyre, Andrew; Park, Jinsung Tau function and Chern-Simons invariant. (English) Zbl 1396.58020 Adv. Math. 262, 1-58 (2014). MSC: 58J28 58J52 37K10 32G15 PDF BibTeX XML Cite \textit{A. McIntyre} and \textit{J. Park}, Adv. Math. 262, 1--58 (2014; Zbl 1396.58020) Full Text: DOI arXiv OpenURL
Chang, Sun-Yung Alice; Fang, Hao; Graham, C. Robin A note on renormalized volume functionals. (English) Zbl 1282.53035 Differ. Geom. Appl. 33, Suppl., 246-258 (2014). MSC: 53C25 53C15 PDF BibTeX XML Cite \textit{S.-Y. A. Chang} et al., Differ. Geom. Appl. 33, 246--258 (2014; Zbl 1282.53035) Full Text: DOI arXiv OpenURL
Guillarmou, Colin; Moroianu, Sergiu Chern-Simons line bundle on Teichmüller space. (English) Zbl 1295.32022 Geom. Topol. 18, No. 1, 327-377 (2014). Reviewer: Jesus A. Álvarez López (Santiago de Compostela) MSC: 32G15 30F60 PDF BibTeX XML Cite \textit{C. Guillarmou} and \textit{S. Moroianu}, Geom. Topol. 18, No. 1, 327--377 (2014; Zbl 1295.32022) Full Text: DOI arXiv OpenURL
Mir, Mozhgan On holographic Weyl anomaly. (English) Zbl 1342.83409 J. High Energy Phys. 2013, No. 10, Paper No. 084, 30 p. (2013). MSC: 83E30 PDF BibTeX XML Cite \textit{M. Mir}, J. High Energy Phys. 2013, No. 10, Paper No. 084, 30 p. (2013; Zbl 1342.83409) Full Text: DOI arXiv OpenURL
Troessaert, Cédric Enhanced asymptotic symmetry algebra of \(\mathrm{AdS}_{3}\). (English) Zbl 1342.83112 J. High Energy Phys. 2013, No. 8, Paper No. 044, 16 p. (2013). MSC: 83C47 PDF BibTeX XML Cite \textit{C. Troessaert}, J. High Energy Phys. 2013, No. 8, Paper No. 044, 16 p. (2013; Zbl 1342.83112) Full Text: DOI arXiv OpenURL
Abdolrahimi, Shohreh; Cattoën, Céline; Page, Don N.; Yaghoobpour-Tari, Shima Large Randall-Sundrum II black holes. (English) Zbl 1323.83014 Phys. Lett., B 720, No. 4, 405-409 (2013). MSC: 83C57 83C15 PDF BibTeX XML Cite \textit{S. Abdolrahimi} et al., Phys. Lett., B 720, No. 4--5, 405--409 (2013; Zbl 1323.83014) Full Text: DOI arXiv OpenURL
Dyatlov, Semyon; Guillarmou, Colin Scattering phase asymptotics with fractal remainders. (English) Zbl 1318.58016 Commun. Math. Phys. 324, No. 2, 425-444 (2013). Reviewer: Paolo Giulietti (Porto Alegre) MSC: 58J50 53D25 47A40 28A80 58J37 PDF BibTeX XML Cite \textit{S. Dyatlov} and \textit{C. Guillarmou}, Commun. Math. Phys. 324, No. 2, 425--444 (2013; Zbl 1318.58016) Full Text: DOI arXiv OpenURL
Juhl, Andreas Explicit formulas for GJMS-operators and \(Q\)-curvatures. (English) Zbl 1293.53049 Geom. Funct. Anal. 23, No. 4, 1278-1370 (2013). Reviewer: Andreas Cap (Wien) MSC: 53C21 53A30 05A15 35A30 35Q76 53A55 53B20 PDF BibTeX XML Cite \textit{A. Juhl}, Geom. Funct. Anal. 23, No. 4, 1278--1370 (2013; Zbl 1293.53049) Full Text: DOI arXiv OpenURL
Hu, Xue; Shi, YuGuang Static flow on complete noncompact manifolds. I: Short-time existence and asymptotic expansions at conformal infinity. (English) Zbl 1271.53046 Sci. China, Math. 55, No. 9, 1883-1900 (2012). Reviewer: Volker Perlick (Lancaster) MSC: 53C25 83C05 53C50 PDF BibTeX XML Cite \textit{X. Hu} and \textit{Y. Shi}, Sci. China, Math. 55, No. 9, 1883--1900 (2012; Zbl 1271.53046) Full Text: DOI arXiv OpenURL
Biquard, Olivier; Mazzeo, Rafe A nonlinear Poisson transform for Einstein metrics on product spaces. (English) Zbl 1232.53039 J. Eur. Math. Soc. (JEMS) 13, No. 5, 1423-1475 (2011). Reviewer: Zbigniew Olszak (Wrocław) MSC: 53C25 53C35 58D27 PDF BibTeX XML Cite \textit{O. Biquard} and \textit{R. Mazzeo}, J. Eur. Math. Soc. (JEMS) 13, No. 5, 1423--1475 (2011; Zbl 1232.53039) Full Text: DOI arXiv OpenURL
Aubry, Erwann; Guillarmou, Colin Conformal harmonic forms, Branson-Gover operators and Dirichlet problem at infinity. (English) Zbl 1225.53033 J. Eur. Math. Soc. (JEMS) 13, No. 4, 911-957 (2011). Reviewer: Witold Mozgawa (Lublin) MSC: 53C20 58A14 PDF BibTeX XML Cite \textit{E. Aubry} and \textit{C. Guillarmou}, J. Eur. Math. Soc. (JEMS) 13, No. 4, 911--957 (2011; Zbl 1225.53033) Full Text: DOI arXiv OpenURL
Leitner, Felipe Examples of almost Einstein structures on products and in cohomogeneity one. (English) Zbl 1222.53049 Differ. Geom. Appl. 29, No. 3, 440-462 (2011). MSC: 53C25 53C15 PDF BibTeX XML Cite \textit{F. Leitner}, Differ. Geom. Appl. 29, No. 3, 440--462 (2011; Zbl 1222.53049) Full Text: DOI OpenURL
Juhl, Andreas On Branson’s \(Q\)-curvature of order eight. (English) Zbl 1229.53018 Conform. Geom. Dyn. 15, 20-43 (2011). Reviewer: Andreas Cap (Wien) MSC: 53B20 53A30 53B30 PDF BibTeX XML Cite \textit{A. Juhl}, Conform. Geom. Dyn. 15, 20--43 (2011; Zbl 1229.53018) Full Text: DOI arXiv OpenURL
Mazzeo, Rafe; Pacard, Frank Constant curvature foliations in asymptotically hyperbolic spaces. (English) Zbl 1214.53024 Rev. Mat. Iberoam. 27, No. 1, 303-333 (2011). MSC: 53C12 53C40 PDF BibTeX XML Cite \textit{R. Mazzeo} and \textit{F. Pacard}, Rev. Mat. Iberoam. 27, No. 1, 303--333 (2011; Zbl 1214.53024) Full Text: DOI arXiv Euclid OpenURL
Juhl, Andreas Holographic formula for \(Q\)-curvature. II. (English) Zbl 1244.53018 Adv. Math. 226, No. 4, 3409-3425 (2011). Reviewer: Shigeki Matsutani (Kanagawa) MSC: 53B20 53B30 53A30 58J50 PDF BibTeX XML Cite \textit{A. Juhl}, Adv. Math. 226, No. 4, 3409--3425 (2011; Zbl 1244.53018) Full Text: DOI arXiv OpenURL
Chang, Sun-Yung Alice; del Mar González, María Fractional Laplacian in conformal geometry. (English) Zbl 1214.26005 Adv. Math. 226, No. 2, 1410-1432 (2011). Reviewer: Nasser-eddine Tatar (Dhahran) MSC: 26A33 35R15 35S05 58J99 53C99 PDF BibTeX XML Cite \textit{S.-Y. A. Chang} and \textit{M. del Mar González}, Adv. Math. 226, No. 2, 1410--1432 (2011; Zbl 1214.26005) Full Text: DOI arXiv OpenURL
Rowlett, Julie On the spectral theory and dynamics of asymptotically hyperbolic manifolds. (English) Zbl 1252.37025 Ann. Inst. Fourier 60, No. 7, 2461-2492 (2010). Reviewer: Anke Pohl (Göttingen) MSC: 37D40 58J50 53C22 PDF BibTeX XML Cite \textit{J. Rowlett}, Ann. Inst. Fourier 60, No. 7, 2461--2492 (2010; Zbl 1252.37025) Full Text: DOI arXiv EuDML OpenURL
Bonini, Vincent; Espinar, José M.; Qing, Jie Correspondences of hypersurfaces in hyperbolic Poincaré manifolds and conformally invariant PDEs. (English) Zbl 1202.53053 Proc. Am. Math. Soc. 138, No. 11, 4109-4117 (2010). MSC: 53C40 58J05 53C30 35J60 PDF BibTeX XML Cite \textit{V. Bonini} et al., Proc. Am. Math. Soc. 138, No. 11, 4109--4117 (2010; Zbl 1202.53053) Full Text: DOI OpenURL
Leitner, Felipe The collapsing sphere product of Poincaré-Einstein spaces. (English) Zbl 1197.53058 J. Geom. Phys. 60, No. 10, 1558-1575 (2010). Reviewer: Jürgen Berndt (London) MSC: 53C25 53A30 PDF BibTeX XML Cite \textit{F. Leitner}, J. Geom. Phys. 60, No. 10, 1558--1575 (2010; Zbl 1197.53058) Full Text: DOI OpenURL
Alexakis, Spyridon; Mazzeo, Rafe Renormalized area and properly embedded minimal surfaces in hyperbolic 3-manifolds. (English) Zbl 1193.53131 Commun. Math. Phys. 297, No. 3, 621-651 (2010). MSC: 53C42 PDF BibTeX XML Cite \textit{S. Alexakis} and \textit{R. Mazzeo}, Commun. Math. Phys. 297, No. 3, 621--651 (2010; Zbl 1193.53131) Full Text: DOI arXiv OpenURL
Alexakis, Spyros On the decomposition of global conformal invariants. I. (English) Zbl 1190.53028 Ann. Math. (2) 170, No. 3, 1241-1306 (2009). Reviewer: Peter B. Gilkey (Eugene) MSC: 53C20 53A30 57R20 PDF BibTeX XML Cite \textit{S. Alexakis}, Ann. Math. (2) 170, No. 3, 1241--1306 (2009; Zbl 1190.53028) Full Text: DOI arXiv Link OpenURL
Guillarmou, Colin; Naud, Frédéric Wave decay on convex co-compact hyperbolic manifolds. (English) Zbl 1196.58011 Commun. Math. Phys. 287, No. 2, 489-511 (2009). MSC: 58J37 58J45 58J50 11M36 35L05 35P05 PDF BibTeX XML Cite \textit{C. Guillarmou} and \textit{F. Naud}, Commun. Math. Phys. 287, No. 2, 489--511 (2009; Zbl 1196.58011) Full Text: DOI arXiv OpenURL
Albin, Pierre Renormalizing curvature integrals on Poincaré-Einstein manifolds. (English) Zbl 1170.53017 Adv. Math. 221, No. 1, 140-169 (2009). Reviewer: Rolf Walter (Dortmund) MSC: 53C20 53C25 PDF BibTeX XML Cite \textit{P. Albin}, Adv. Math. 221, No. 1, 140--169 (2009; Zbl 1170.53017) Full Text: DOI arXiv OpenURL
Graham, C. Robin Extended obstruction tensors and renormalized volume coefficients. (English) Zbl 1161.53062 Adv. Math. 220, No. 6, 1956-1985 (2009). MSC: 53C50 PDF BibTeX XML Cite \textit{C. R. Graham}, Adv. Math. 220, No. 6, 1956--1985 (2009; Zbl 1161.53062) Full Text: DOI arXiv OpenURL
Bérard, Vincent A conformal analogue of harmonic maps. (Un analogue conforme des applications harmoniques.) (French) Zbl 1149.58008 C. R., Math., Acad. Sci. Paris 346, No. 17-18, 985-988 (2008). MSC: 58E20 PDF BibTeX XML Cite \textit{V. Bérard}, C. R., Math., Acad. Sci. Paris 346, No. 17--18, 985--988 (2008; Zbl 1149.58008) Full Text: DOI OpenURL
Anderson, Michael T.; Herzlich, Marc Unique continuation results for Ricci curvature and applications. (English) Zbl 1161.58009 J. Geom. Phys. 58, No. 2, 179-207 (2008). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 58J32 53C21 58D17 58J60 PDF BibTeX XML Cite \textit{M. T. Anderson} and \textit{M. Herzlich}, J. Geom. Phys. 58, No. 2, 179--207 (2008; Zbl 1161.58009) Full Text: DOI arXiv OpenURL
Biquard, Olivier; Herzlich, Marc; Rumin, Michel Diabatic limit, eta invariants and Cauchy-Riemann manifolds of dimension 3. (English) Zbl 1188.32010 Ann. Sci. Éc. Norm. Supér. (4) 40, No. 4, 589-631 (2007). MSC: 32V05 58J28 PDF BibTeX XML Cite \textit{O. Biquard} et al., Ann. Sci. Éc. Norm. Supér. (4) 40, No. 4, 589--631 (2007; Zbl 1188.32010) Full Text: DOI arXiv Numdam EuDML OpenURL
Graham, C. Robin; Juhl, Andreas Holographic formula for \(Q\)-curvature. (English) Zbl 1147.53030 Adv. Math. 216, No. 2, 841-853 (2007). Reviewer: Shigeki Matsutani (Kanagawa) MSC: 53C20 53A30 58J50 PDF BibTeX XML Cite \textit{C. R. Graham} and \textit{A. Juhl}, Adv. Math. 216, No. 2, 841--853 (2007; Zbl 1147.53030) Full Text: DOI arXiv OpenURL
Seshadri, Neil Volume renormalization for complete Einstein-Kähler metrics. (English) Zbl 1152.32017 Differ. Geom. Appl. 25, No. 4, 356-379 (2007). Reviewer: Andrea Altomani (Luxembourg) MSC: 32V15 32T15 53B35 53C55 PDF BibTeX XML Cite \textit{N. Seshadri}, Differ. Geom. Appl. 25, No. 4, 356--379 (2007; Zbl 1152.32017) Full Text: DOI arXiv OpenURL
Dai, Xianzhe; Wei, Guofang Hitchin-Thorpe inequality for noncompact Einstein 4-manifolds. (English) Zbl 1127.53036 Adv. Math. 214, No. 2, 551-570 (2007). Reviewer: David E. Blair (East Lansing) MSC: 53C25 PDF BibTeX XML Cite \textit{X. Dai} and \textit{G. Wei}, Adv. Math. 214, No. 2, 551--570 (2007; Zbl 1127.53036) Full Text: DOI arXiv OpenURL
Albin, Pierre A renormalized index theorem for some complete asymptotically regular metrics: the Gauss-Bonnet theorem. (English) Zbl 1195.58008 Adv. Math. 213, No. 1, 1-52 (2007). Reviewer: Sergiu Moroianu (Bucureşti) MSC: 58J20 58J28 PDF BibTeX XML Cite \textit{P. Albin}, Adv. Math. 213, No. 1, 1--52 (2007; Zbl 1195.58008) Full Text: DOI arXiv OpenURL
Herzlich, Marc A remark on renormalized volume and Euler characteristic for ACHE 4-manifolds. (English) Zbl 1129.53027 Differ. Geom. Appl. 25, No. 1, 78-91 (2007). Reviewer: Shanyu Ji (Houston) MSC: 53C25 53C80 PDF BibTeX XML Cite \textit{M. Herzlich}, Differ. Geom. Appl. 25, No. 1, 78--91 (2007; Zbl 1129.53027) Full Text: DOI arXiv OpenURL
Alexakis, Spyros On the decomposition of global conformal invariants. II. (English) Zbl 1124.53013 Adv. Math. 206, No. 2, 466-502 (2006). Reviewer: George F. Nassopoulos (Athens) MSC: 53C20 53A30 58J70 PDF BibTeX XML Cite \textit{S. Alexakis}, Adv. Math. 206, No. 2, 466--502 (2006; Zbl 1124.53013) Full Text: DOI arXiv OpenURL
Sá Barreto, Antônio Radiation fields, scattering, and inverse scattering on asymptotically hyperbolic manifolds. (English) Zbl 1154.58310 Duke Math. J. 129, No. 3, 407-480 (2005). MSC: 58J50 35P25 35R30 47A40 81U40 PDF BibTeX XML Cite \textit{A. Sá Barreto}, Duke Math. J. 129, No. 3, 407--480 (2005; Zbl 1154.58310) Full Text: DOI arXiv Euclid OpenURL
Guillarmou, Colin Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds. (English) Zbl 1099.58011 Duke Math. J. 129, No. 1, 1-37 (2005). Reviewer: Mahameden Ould Ahmedou (Tübingen) MSC: 58J50 35P25 PDF BibTeX XML Cite \textit{C. Guillarmou}, Duke Math. J. 129, No. 1, 1--37 (2005; Zbl 1099.58011) Full Text: DOI arXiv OpenURL
Chang, Sun-Yung Alice Conformal invariants and partial differential equations. (English) Zbl 1087.53019 Bull. Am. Math. Soc., New Ser. 42, No. 3, 365-393 (2005). Reviewer: Cornelia-Livia Bejan (Iaşi) MSC: 53A30 58J05 35J60 53C20 PDF BibTeX XML Cite \textit{S.-Y. A. Chang}, Bull. Am. Math. Soc., New Ser. 42, No. 3, 365--393 (2005; Zbl 1087.53019) Full Text: DOI OpenURL
Sá Barreto, Antônio; Wunsch, Jared The radiation field is a Fourier integral operator. (English) Zbl 1091.58018 Ann. Inst. Fourier 55, No. 1, 213-227 (2005). Reviewer: Georgi E. Karadzhov (Sofia) MSC: 58J40 35L05 35P25 58J45 58J50 PDF BibTeX XML Cite \textit{A. Sá Barreto} and \textit{J. Wunsch}, Ann. Inst. Fourier 55, No. 1, 213--227 (2005; Zbl 1091.58018) Full Text: DOI arXiv Numdam EuDML Link OpenURL
Yeganefar, Nader On the \(L^2\)-cohomology of negatively curved manifolds. (Sur la \(L^2\)-cohomologie des variétés à courbure négative.) (French) Zbl 1069.58013 Duke Math. J. 122, No. 1, 145-180 (2004). Reviewer: Akira Asada (Takarazuka) MSC: 58J10 58A14 53C21 PDF BibTeX XML Cite \textit{N. Yeganefar}, Duke Math. J. 122, No. 1, 145--180 (2004; Zbl 1069.58013) Full Text: DOI OpenURL
Anderson, Michael T. Boundary regularity, uniqueness and non-uniqueness for AH Einstein metrics on 4-manifolds. (English) Zbl 1048.53032 Adv. Math. 179, No. 2, 205-249 (2003). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 53C25 58J60 58D17 PDF BibTeX XML Cite \textit{M. T. Anderson}, Adv. Math. 179, No. 2, 205--249 (2003; Zbl 1048.53032) Full Text: DOI arXiv OpenURL